The Frenkel–Kontorova Model

  • L.M. Floría
  • C Baesens
  • J. Gómez-Gardeñes
Part of the Lecture Notes in Physics book series (LNP, volume 671)


In the preface to his monograph on the structure of Evolutionary Theory [1], the late professor Stephen Jay Gould attributes to the philosopher Immanuel Kant the following aphorism in Science Philosophy: “Percepts without concepts are blind; concepts without percepts are empty”. Using with a bit of freedom these Kantian terms, one would say that a scientific model is a framework (or network) of interrelated concepts and percepts where experts build up scientific consistent explanations of a given set of observations. Good models are those which are both, conceptually simple and universal in their perceptions. Let us illustrate with examples the meaning of this statement.


Coupling Parameter Kontorova Model Threshold Coupling Distribution Centroid Base Pair Opening 
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Authors and Affiliations

  • L.M. Floría
    • 1
  • C Baesens
    • 2
  • J. Gómez-Gardeñes
    • 3
  1. 1.Dpt. of Theory and Simulation of Complex Systems, ICMACSIC-Universidad de ZaragozaE-50009 ZaragozaSpain
  2. 2.Mathematics InstituteUniversity of Warwick.Coventry CV4 7ALUK
  3. 3.Instituto de Biocomputación y Física de Sistemas Complejos, and Dpto. de Física de la Materia CondensadaUniversidad de ZaragozaE-50009 Zaragoza,Spain

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